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Finding the Fourth Proportional to 378.15, 521.82 and 322.80

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Solution

The fourth proportional to 378.15, 521.82 and 322.80 is: 445.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.15 : 521.82 = 322.80 : x
  2. Step 2: Convert to fraction form
    378.15/521.82 = 322.80/x
  3. Step 3: Cross multiply
    378.15x = 521.82 × 322.80
  4. Step 4: Simplify right side
    378.15x = 168,443.50
  5. Step 5: Solve for x
    x = 168,443.50/378.15
  6. Step 6: Final answer
    x = 445.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.